3 papers
math.PR2026
Berry-Esseen bounds for estimators of entropy and diversity indices on countable alphabets
Zhen Hong Yu, Yu Miao
In the present paper, we derive Berry-Esseen bounds for the estimation of diversity indices on countable alphabets. A general non-asymptotic convergence rate is established for the…
math.ST2025
Moderate deviation principle for plug-in estimators of diversity indices on countable alphabets
Zhenhong Yu, Yu Miao
In the present paper, we consider the moderate deviation principle for the plug-in estimators of a large class of diversity indices on countable alphabets, where the distribution m…
math.ST2025
Moderate deviation principle for the chi-square statistics
Zhenhong Yu, Yu Miao
In the present paper, we consider the Pearson chi-square statistic defined on a finite alphabet which is assumed to dynamically vary as the sample size increases, and establish its…